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Prove that, sin((8pi)/(3))cos((23pi)/(...

Prove that,
`sin((8pi)/(3))cos((23pi)/(6))+cos((13pi)/(3))sin((35pi)/(6))=(1)/(2)`

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KUMAR PRAKASHAN-TRIGONOMETRIC FUNCTIONS -PRACTICE WORK
  1. Find the value of other five trigonometric function. cotx=-(5)/(12),...

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  2. Prove that, cos510^(@)cos330^(@)+sin390^(@)cos120^(@)=-1.

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  3. Prove that, sin((8pi)/(3))cos((23pi)/(6))+cos((13pi)/(3))sin((35pi)/...

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  4. Prove that, sin^(2)((pi)/(18))+sin^(2)((pi)/(9))+sin^(2)((7pi)/(18))...

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  5. Find the value of x. cosec(90^(@)+theta)+xcosthetacot(90^(@)+theta)=...

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  6. Find the value of x. xcot(90^(@)+theta)+tan(90^(@)+theta)sintheta+co...

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  7. Find the value of following trigonometric function. tan(-585^(@))

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  8. Find the value of following trigonometric function. sin(4530^(@))

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  9. Find the value of following trigonometric function. tan((11pi)/(6))

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  10. Find the value of following trigonometric function. cos(1755^(@))

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  11. Find the value of following trigonometric function. sin(-330^(@))

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  12. Prove that cos((3pi)/(2)+x)cos(2pi+x).{cot((3pi)/(2)-x)+cot(2pi+x)}=1

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  13. Find the value of sin(135^(@))cosec(225^(@))tan(150^(@))cot(315^(@))

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  14. Prove that, 3sin((pi)/(6))sec((pi)/(3))-4sin((5pi)/(6))cot((pi)/(4))...

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  15. Prove tan((11pi)/(3))-2sin((4pi)/(6))-((3)/(4))cosec^(2)((pi)/(4))+4co...

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  16. Find the value of cos75^(@)

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  17. Find the value of tan75^(@)

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  18. Find the value of sin15^(@)

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  19. Find the value of sec105^(@)

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  20. Prove that, sin(40^(@)+theta)cos(10^(@)+theta)-cos(40^(@)+theta)sin(10...

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